From 322dd4279bca1f5db82a0bd3d757ae8e27e39c1c Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Mon, 16 Oct 2023 10:24:34 -0400 Subject: [PATCH] ~ --- codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml b/codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml index 350d9a4c1..882175b56 100644 --- a/codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml +++ b/codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml @@ -13,6 +13,7 @@ introduced: \cite{arxiv:1212.6703,arxiv:2203.17216} description: | A quasi-cyclic Galois-qudit CSS code constructed using a generalized version of the bicycle ansatz \cite{arXiv:quant-ph/0304161} from a pair of equivalent index-two quasi-cyclic linear codes. + Various instances of qubit GB codes are constructed in \cite{arXiv:2203.17216} (only codes with \(k=2\)) and in \cite{arXiv:2306.16400}. The stabilizer generator matrix of a \([[ n=2\ell,k,d]]\) denoted GB\((a,b)\) code over \(GF(q)\), constructed from polynomials \(a(x)\) and \(b(x)\), can be refined to the form \begin{align} @@ -73,9 +74,6 @@ features: decoders: - 'BP-OSD decoder \cite{arXiv:1904.02703}.' -realizations: - Many instances of binary (qubit-based) GB codes are constructed in \cite{arXiv:2203.17216} (only codes with \(k=2\)) and in \cite{arXiv:2306.16400}. - relations: parents: - code_id: galois_css